Question

The base and the height of a triangle are in the ratio 4 : 5. If the area of the triangle is 40 m2

; find

its base and height

Answer 1

Let the Base and Height be 4a and 5a respectively

Area = 40 m^2

=> Base ×Height /2 = 40

=> 4a ×5a = 80

=> 20a^2 = 80

=> a^2 = 4

=> a = 2

Base = 4× 2 = 8 m

Height = 5×2 = 10 m

Answer 2

Let the ratio be in x

Therefore, Base =4x
Height =5x
As we know,
Area of triangle =1/2×b×h
Now, 1/2×b×h =40m2

1/2 × 5x × 4x = 40m2
1/2 × 20x^2 = 40m2
10x ^2= 40m2
x^2 =40/10=4
x=2
Therefore, Base =4×2 =8 m
Height =5×2=10m
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